y=x+5
y=-2x-1
A (0, - 1)
B ( 0,5)
C (- 2,3)
D ( -2 , -1 )
y = x+5
Sub this value of y into the second equation:
x+5 = -2x-1 solve for x ====> add 2x to each side
3x + 5 = -1 subtract 5 from each side
3x = -6
x = -2 NOW, sub this into one of the first two equations to find 'y'
y = -2 + 5 = 3
y = x + 5
y = -2x - 1
Set the y's equal
x + 5 = - 2x - 1 subtract x, add 1 from/to each sides
6 = - 3x divide both sides by - 3
-2 = x
And using y = x + 5
y = - 2 + 5
y = 3
( -2, 3) = (x , y)